1131200330013 has 144 divisors (see below), whose sum is σ = 1857880088064. Its totient is φ = 687441867840.

The previous prime is 1131200329993. The next prime is 1131200330093. The reversal of 1131200330013 is 3100330021311.

It is a happy number.

1131200330013 is a `hidden beast` number, since 1 + 131 + 200 + 330 + 0 + 1 + 3 = 666.

It is not a de Polignac number, because 1131200330013 - 2⁸ = 1131200329757 is a prime.

It is a super-2 number, since 2×1131200330013² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131200330093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1522476520 + ... + 1522477262.

It is an arithmetic number, because the mean of its divisors is an integer number (12901945056).

Almost surely, 2^{1131200330013} is an apocalyptic number.

1131200330013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1131200330013 is a deficient number, since it is larger than the sum of its proper divisors (726679758051).

1131200330013 is a wasteful number, since it uses less digits than its factorization.

1131200330013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1131200330013 its reverse (3100330021311), we get a palindrome (4231530351324).

The spelling of 1131200330013 in words is "one trillion, one hundred thirty-one billion, two hundred million, three hundred thirty thousand, thirteen".